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Question What is the value of the expression below when \( y=10 \) and \( z=2 \) ? Answer Attempt 2 out of \( 2 y+6 z \)

Ask by Morgan Johnson. in the United States
Feb 22,2025

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Answer

When \( y = 10 \) and \( z = 2 \), the expression \( 2y + 6z \) equals 32.

Solution

We are given the expression 2y + 6z, and we need to evaluate it when y = 10 and z = 2. Step 1. Substitute the given values into the expression:   2(10) + 6(2) Step 2. Multiply:   2(10) = 20   6(2) = 12 Step 3. Add the results:   20 + 12 = 32 Therefore, the value of the expression is 32.

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To solve the expression \( 2y + 6z \) with \( y = 10 \) and \( z = 2 \), plug in the values: \( 2(10) + 6(2) = 20 + 12 = 32 \). So the value of the expression when \( y = 10 \) and \( z = 2 \) is \( 32 \). An interesting fact about algebra is how it evolved from ancient civilizations! The Babylonians were among the first to use basic algebraic techniques as far back as 2000 BC, solving quadratic equations and using algorithms. Fast forward to today's digital age, we rely heavily on these early principles to solve complex problems quickly! If you ever find yourself struggling with similar expressions, remember to carefully follow the order of operations—commonly abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). A common mistake is forgetting to multiply first, leading to incorrect answers. So take your time and check your work!

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